Abstract

A very simple optical setup for the measurement of the modulus and the phase of the two-point correlation function of a partially coherent light field is presented. The system consists of a slightly modified version of a Young interferometer and requires a single Young mask in order to determine the correlation function at any pairs of points. Experimental results are presented for the case of a synthesized partially coherent secondary source.

© 2006 Optical Society of America

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References

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2005 (2)

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

H. Roychowdhury and E. Wolf, Opt. Commun. 252, 268 (2005).
[Crossref]

2004 (1)

2003 (2)

2002 (1)

1999 (1)

1998 (2)

D. Mendlovic, G. Shabtay, A. W. Lohmann, and N. Konforti, Opt. Lett. 23, 1084 (1998).
[Crossref]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

1997 (1)

1996 (1)

1994 (1)

M. G. Raymer, M. Beck, and D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994).
[Crossref] [PubMed]

1989 (1)

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
[Crossref]

1986 (1)

1979 (1)

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

Arimoto, H.

Bache, M.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

Bali, S.

Banaszek, K.

Beck, M.

M. G. Raymer, M. Beck, and D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994).
[Crossref] [PubMed]

Borghi, R.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

Brambilla, E.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

Bunk, O.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Chatterjee, S.

S. Chatterjee and O. Prakash, Opt. Laser Technol. 35, 133 (2003).
[Crossref]

David, C.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

De Nicola, S.

De Santis, P.

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

Diaz, A.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Dorrer, C.

Ferraro, P.

Ferri, F.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

Finizio, A.

Friberg, A. T.

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
[Crossref]

Gatti, A.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

Gori, F.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

Guattari, G.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

Iaconis, C.

Imai, M.

Konforti, N.

Lee, K. F.

Lohmann, A. W.

Lugiato, L. A.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

Magatti, D.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

McAlister, D. F.

M. G. Raymer, M. Beck, and D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994).
[Crossref] [PubMed]

Mendlovic, D.

Montant, S.

Mukamel, E.

Ohtsuka, Y.

Palma, C.

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

Pfeiffer, F.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Pierattini, G.

Prakash, O.

S. Chatterjee and O. Prakash, Opt. Laser Technol. 35, 133 (2003).
[Crossref]

Raymer, M. G.

M. G. Raymer, M. Beck, and D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994).
[Crossref] [PubMed]

Reil, F.

Robinson, I. K.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Roychowdhury, H.

H. Roychowdhury and E. Wolf, Opt. Commun. 252, 268 (2005).
[Crossref]

Santarsiero, M.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

Satoh, S.

Sauteret, C.

Schultze-Briese, C.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Shabtay, G.

Stenz, C.

Surville, J.

Tervonen, E.

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
[Crossref]

Thomas, J. E.

Turunen, J.

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
[Crossref]

van der Veen, J. F.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Vartanyants, I.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Vicalvi, S.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

Videau, L.

Walmsley, I. A.

Wax, A.

Weitkamp, T.

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Wolf, E.

H. Roychowdhury and E. Wolf, Opt. Commun. 252, 268 (2005).
[Crossref]

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

Appl. Opt. (1)

Appl. Phys. B (1)

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
[Crossref]

J. Opt. Soc. Am. A (1)

Opt. Commun. (2)

P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
[Crossref]

H. Roychowdhury and E. Wolf, Opt. Commun. 252, 268 (2005).
[Crossref]

Opt. Laser Technol. (1)

S. Chatterjee and O. Prakash, Opt. Laser Technol. 35, 133 (2003).
[Crossref]

Opt. Lett. (6)

Phys. Rev. Lett. (2)

M. G. Raymer, M. Beck, and D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994).
[Crossref] [PubMed]

F. Pfeiffer, O. Bunk, C. Schultze-Briese, A. Diaz, T. Weitkamp, C. David, J. F. van der Veen, I. Vartanyants, and I. K. Robinson, Phys. Rev. Lett. 94, 164801 (2005).
[Crossref] [PubMed]

Pure Appl. Opt. (1)

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, Pure Appl. Opt. 7, 941 (1998).
[Crossref]

Other (2)

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. (to be published), arXiv:quant-ph/0504082.

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Figures (4)

Fig. 1
Fig. 1

RWY interferometer.

Fig. 2
Fig. 2

Experimental (dots) and theoretical (solid curve) values of the modulus of the degree of coherence as functions of δ x λ z .

Fig. 3
Fig. 3

Experimental values of the phase (in units of 2 π ) of the degree of coherence as functions of x ¯ λ z and δ x λ z .

Fig. 4
Fig. 4

Experimental values (dots) of the angular coefficients of the best-fitting lines corresponding to measured values of the phase, obtained on varying δ x for fixed values of x ¯ , together with the theoretical behavior (solid line). The inset shows a typical set of phase values taken at x ¯ = 100 μ m .

Equations (2)

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I tot ( x f ) = I 1 + I 2 + 2 I 1 I 2 γ 12 cos ( 2 π d λ f x f + ϕ 12 ) ,
γ 12 = exp ( i 2 π λ z x ¯ δ x ) exp ( π 2 w 2 λ 2 z 2 δ x 2 ) ,

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